Titled players are allowed to have anonymous accounts.
Banning someone for playing 5 moves of theory is stupid.
But sure, it would be nice to "instantly" ban cheaters. If you have a reliable way of doing that without huge hardware costs or many false positives then I'm sure chess.com would be interested in hearing your ideas.
In the photo, you can see my recent games against 2500+ players. No wonder that most of them got banned because they didn't follow fairplay policy. Interestingly I didn't get refund for my losses (this is a bit complex to explain what's the stupid policy of chess.com on refunding, and I prefer to not get in, not a big deal).
Without exception, I've reported all of them. But in most cases took quite a bit of time for chess.com to close their account. This is a clear insult to legit players. They play many games and then they get banned. Almost all of them are new accounts. Chess.com should instantly close new accounts that are cheating. They seem to enjoy legit player's frustration. They are not hard to detect, not like those cheaters who check their blunders with engines, they blatantly use the engine all the time or they are simply a bot, no single move deviates from the engine's major suggestions.
This is getting more annoying by knowing that these guys/bots play at least 200-300 games to get banned. You may think, okay, among millions of games on chess.com this is nothing. But actually, they play with players in a higher bracket, there are around 10k players like me or better than me on chess.com, it means each of these bots/blatant engine users play with at least 2-3% of top players of chess.com before they get banned. This is a huge number. It is huge since after 5-6 moves without deviation from main engine lines it is clear that they are engine cheaters. It is an easy task for chess.com to detect them automatically and bann them.
It could be the case that one of these seeming engines is one of the world-class players, then again this is insulting and their account should be banned since certainly they have an account with their title thus they should get banned (even if they make some accounts they should put the title in front of all of them). In any case, they are easy to detect. I understand in some cases detecting a cheater is a difficult task but these aren't difficult cases, they are easy to automatically detect.
In the above photo note that 4 of 8 players were 100% cheater (well recent players are not clear if they are clean), additionally among those (seemingly) non-cheaters (4 games) I scored 1 win and one draw, and two losses, not too bad. But among cheaters, I lost 100% of all games but one in which I was a loser but my opponent stopped playing. That is there is no chance to win against them by any trick.
Given such a support for these players from chess.com side, I believe chess.com makes money by letting bots/AI's playing in live games, that's very sad and dangerous if it is true.